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528529000000 = 26567272
BaseRepresentation
bin1111011000011101100…
…10001000011001000000
31212112020002120001222011
413230032302020121000
532124411411000000
61042445230422304
753120304242431
oct7541662103100
91775202501864
10528529000000
11194169929451
1286523361994
133aabc835671
141b81c157488
15db355402ba
hex7b0ec88640

528529000000 has 147 divisors (see below), whose sum is σ = 1312788645309. Its totient is φ = 211120800000.

The previous prime is 528528999967. The next prime is 528529000039. The reversal of 528529000000 is 925825.

It is a happy number.

The square root of 528529000000 is 727000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 463042142784 + 65486857216 = 680472^2 + 255904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 726999637 + ... + 727000363.

Almost surely, 2528529000000 is an apocalyptic number.

528529000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

528529000000 is the 727000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528529000000

528529000000 is an abundant number, since it is smaller than the sum of its proper divisors (784259645309).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

528529000000 is an frugal number, since it uses more digits than its factorization.

528529000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 528529000000 its reverse (925825), we get a palindrome (528529925825).

The spelling of 528529000000 in words is "five hundred twenty-eight billion, five hundred twenty-nine million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 727 800 1000 1250 1454 1600 2000 2500 2908 3125 3635 4000 5000 5816 6250 7270 8000 10000 11632 12500 14540 15625 18175 20000 23264 25000 29080 31250 36350 40000 46528 50000 58160 62500 72700 90875 100000 116320 125000 145400 181750 200000 232640 250000 290800 363500 454375 500000 528529 581600 727000 908750 1000000 1057058 1163200 1454000 1817500 2114116 2271875 2642645 2908000 3635000 4228232 4543750 5285290 5816000 7270000 8456464 9087500 10570580 11359375 13213225 14540000 16912928 18175000 21141160 22718750 26426450 29080000 33825856 36350000 42282320 45437500 52852900 66066125 72700000 84564640 90875000 105705800 132132250 145400000 169129280 181750000 211411600 264264500 330330625 363500000 422823200 528529000 660661250 727000000 845646400 1057058000 1321322500 1651653125 2114116000 2642645000 3303306250 4228232000 5285290000 6606612500 8258265625 10570580000 13213225000 16516531250 21141160000 26426450000 33033062500 52852900000 66066125000 105705800000 132132250000 264264500000 528529000000